Search a number
-
+
676774440 = 2336523209
BaseRepresentation
bin101000010101101…
…100001000101000
31202011110201000000
4220111230020220
52341223240230
6151053343000
722525326216
oct5025541050
91664421000
10676774440
11318026721
1216a797a60
13aa299a64
1465c4dcb6
153e635b60
hex2856c228

676774440 has 112 divisors (see below), whose sum is σ = 2283167700. Its totient is φ = 180465408.

The previous prime is 676774411. The next prime is 676774453. The reversal of 676774440 is 44477676.

It can be written as a sum of positive squares in 2 ways, for example, as 674648676 + 2125764 = 25974^2 + 1458^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17556 + ... + 40764.

Almost surely, 2676774440 is an apocalyptic number.

676774440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676774440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141583850).

676774440 is an abundant number, since it is smaller than the sum of its proper divisors (1606393260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

676774440 is a wasteful number, since it uses less digits than its factorization.

676774440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 676774440 is about 26014.8888139081. Note that the first 4 decimals coincide. The cubic root of 676774440 is about 877.9733146726.

The spelling of 676774440 in words is "six hundred seventy-six million, seven hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 23209 29160 46418 69627 92836 116045 139254 185672 208881 232090 278508 348135 417762 464180 557016 626643 696270 835524 928360 1044405 1253286 1392540 1671048 1879929 2088810 2506572 2785080 3133215 3759858 4177620 5013144 5639787 6266430 7519716 8355240 9399645 11279574 12532860 15039432 16919361 18799290 22559148 25065720 28198935 33838722 37598580 45118296 56397870 67677444 75197160 84596805 112795740 135354888 169193610 225591480 338387220 676774440